H
45
G
8
F
3
Ε
Find
cos FHE.

Answer:

second choice is the answer or it can be

The correct answer is option B.

"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."

For given question,

Consider points A and B on the coordinate plane as shown in following image.

Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]

So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]

Let, AC = y, BC = -y and OC = m

Now, consider sine function

[tex]sin\theta=\frac{AC}{OA}\\[/tex]

⇒[tex]sin\theta=\frac{y}{r}[/tex]                        ........................(1)

And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]

⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]

⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex]             .......................(2)

⇒ [tex]sin(-\theta)=-sin\theta[/tex]             ......................(From (1) and (2))

Now, consider cosine function

[tex]cos\theta=\frac{OC}{OA}[/tex]

⇒ [tex]cos\theta=\frac{m}{r}[/tex]                           ...........................(3)

And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]

⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex]                      ...........................(4)

⇒ [tex]cos(-\theta)=cos\theta[/tex]                   ...........................(From (3), (4))

Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

Therefore, the correct answer is option B.

Learn more about odd function here,

https://brainly.com/question/14264818

#SPJ2

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

9514 1404 393

Answer:

  B.  9 cm

Step-by-step explanation:

The number of face masks Ray can make with 20 m of cord is ...

  (20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks

To make one more mask, he will need to buy an additional amount of ...

  (196 -195.12195)×(10.25 cm) ≈ 9.00 cm

Ray would need to add 9 cm of cord to his order.

Answer:

20% of them we flavored vanilla that day

Step-by-step explanation:

Answer:

(0,-12)

Step-by-step explanation:

is this what your looking for? what form would you like me to answer this in?

Answer:

x=60

Step-by-step explanation:

I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

Answer:

we have

secθ = 2

[tex] \frac{1}{cos θ} [/tex]=2

Cosθ =[tex] \frac{1}{2 }[/tex]

[tex] \frac{b}{h }=\frac{1}{2 }[/tex]

b=1

h=2

p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]

again

Cot θ=[tex] \frac{b}{p }[/tex]

Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

It lies in Quadrant III cot is positive

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

b. (sqrt 3)/3

Answer:

3.573 ⋅ 0.5108 ⋅ 0.5

Step-by-step explanation:

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

Answer:

100degrees

Step-by-step explanation:

From the given diagram;

<2 = <6 (corresponding angle)

Since <6 + 80 = 180

<6 = 180 - 80

<6 = 100 degrees

Since <2 = <6, hence <2 = 100degrees

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Answer:

Step-by-step explanation:

2x-3 =-4x+3

6x = 6

x = 1

plug 1 into either eq. to see what  "y" you get

2(1) - 3 = -1

so

(1, -1 )

Solution :

If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.

Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,

[tex]a_1 = D[/tex]

[tex]a_2=D_c[/tex]

[tex]a_3 = Dc^2[/tex]

[tex]a_4 = (Dc^2)c= Dc^3[/tex]

....

[tex]a_n=Dc^{n-1}[/tex]

∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]

  [tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]

  [tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]

  [tex]S-n=D . \frac{1-c^n}{1-c}[/tex]

Answer:

20

Step-by-step explanation:

We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.

If this has helped please mark as brainliest

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Equation:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]

[tex]\large\textsf{Solving:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]

[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]

[tex]\mathsf{= 4 + (2)^4}[/tex]

[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]

[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]

[tex]\mathsf{= 4 + 4\times 4}[/tex]

[tex]\mathsf{= 4 + 16}[/tex]

[tex]\mathsf{= 20}[/tex]

[tex]\large\textsf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:hv

Step-by-step explanation:

Step-by-step explanation:

x+85+x+44+63=180(sum of angles of a triangle)

or,2x+192=180

or,2x=180-192

or,x=-12

Angle A=x+44

=-12+44

=32°

Give brainliest plse .

Answer:

go to school, do your work, you are only cheating yourself, not the school, or end up homeless

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

9514 1404 393

Answer:

  6 2/3

Step-by-step explanation:

  4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3

A

Step-by-step explanation:

m+n

2..................

Answer: Hello Luv......

The chosen topic is not meant for use with this type of problem. Try the examples below.

45665

8723

209÷32

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

9514 1404 393

Answer:

  x = 0, x = 3

Step-by-step explanation:

It appears your equations are intended to be ...

  f(x) = (7/3)x -3

  g(x) = 2^x -4

These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.

The solutions to f(x) = g(x) are x ∈ {0, 3}.

Answer:

Step-by-step explanation:

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm  

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³